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Answer :
Final answer:
The potential energy of a 625-kg roller coaster car at the top of a 135 m tall hill is calculated using the formula PEg = mgh, yielding a potential energy of 825,937.5 Joules.
Explanation:
To determine the potential energy of a 625-kg roller coaster car at the top of a 135 m tall hill, you can use the formula for gravitational potential energy (PEg), which is PEg = mgh, where:
m is the mass of the object,
g is the acceleration due to gravity, and
h is the height above the reference point.
Given that the mass (m) of the roller coaster car is 625 kg, the acceleration due to gravity (g) is 9.81 m/s2, and the height (h) of the hill is 135 m, we can calculate the potential energy as follows:
PEg = (625 kg) × (9.81 m/s2) × (135 m).
Performing the multiplication, we find that the potential energy is:
PEg = 825,937.5 Joules (J).
Therefore, the potential energy of the roller coaster car at the top of the hill is 825,937.5 J.
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